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Finding the Third Proportional to 15,701 and 22,005.50

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Solution

The third proportional to 15,701 and 22,005.50 is: 30,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701 : 22,005.50 = 22,005.50 : x
  2. Step 2: Convert to fraction form
    15,701/22,005.50 = 22,005.50/x
  3. Step 3: Cross multiply
    15,701x = 22,005.50 × 22,005.50
  4. Step 4: Simplify right side
    15,701x = 484,242,030.25
  5. Step 5: Solve for x
    x = 484,242,030.25/15,701
  6. Step 6: Final answer
    x = 30,841.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.